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MHT CET · Physics · Wave Optics

Two polaroids are placed in the path of unpolarised beam of intensity ' \(\mathrm{I}_0\) ' such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle ' \(\theta\) ' with the polarisation axis of first polaroid is placed between these polaroids then the intensity of light emerging from the last polaroid will be

  1. A \(\frac{I_0}{4}(\sin 2 \theta)^2\)
  2. B \(\frac{I_0}{8}(\sin 2 \theta)^2\)
  3. C \(\frac{\mathrm{I}_0}{4} \sin ^2 \theta\)
  4. D \(\frac{I_0}{8} \sin ^2 \theta\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{I_0}{8}(\sin 2 \theta)^2\)

Step-by-step Solution

Detailed explanation

\(I_1 = I_0/2\) \(I_2 = I_1 \cos^2 \theta = (I_0/2) \cos^2 \theta\)
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